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Finding the Fourth Proportional to 230,678.40, 317,863.80 and 170,153.31

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Solution

The fourth proportional to 230,678.40, 317,863.80 and 170,153.31 is: 234,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,678.40 : 317,863.80 = 170,153.31 : x
  2. Step 2: Convert to fraction form
    230,678.40/317,863.80 = 170,153.31/x
  3. Step 3: Cross multiply
    230,678.40x = 317,863.80 × 170,153.31
  4. Step 4: Simplify right side
    230,678.40x = 54,085,577,699.18
  5. Step 5: Solve for x
    x = 54,085,577,699.18/230,678.40
  6. Step 6: Final answer
    x = 234,463.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.